Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces
We introduce a b-metric on the cone b-metric space and then prove some equivalences between them. As applications, we show that fixed point theorems on cone b-metric spaces can be obtained from fixed point theorems on b-metric spaces.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/573740 |
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doaj-723a592d9f4941689c400d145d0aa7352020-11-24T22:49:11ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/573740573740Some Equivalences between Cone b-Metric Spaces and b-Metric SpacesPoom Kumam0Nguyen Van Dung1Vo Thi Le Hang2Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thrung Khru, Bangkok 10140, Thailand Faculty of Mathematics and Information Technology Teacher Education, Dong Thap University, Cao Lanh City, Dong Thap Province 871200, VietnamJournal of Science, Dong Thap University, Cao Lanh City, Dong Thap Province 871200, VietnamWe introduce a b-metric on the cone b-metric space and then prove some equivalences between them. As applications, we show that fixed point theorems on cone b-metric spaces can be obtained from fixed point theorems on b-metric spaces.http://dx.doi.org/10.1155/2013/573740 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Poom Kumam Nguyen Van Dung Vo Thi Le Hang |
| spellingShingle |
Poom Kumam Nguyen Van Dung Vo Thi Le Hang Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces Abstract and Applied Analysis |
| author_facet |
Poom Kumam Nguyen Van Dung Vo Thi Le Hang |
| author_sort |
Poom Kumam |
| title |
Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces |
| title_short |
Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces |
| title_full |
Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces |
| title_fullStr |
Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces |
| title_full_unstemmed |
Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces |
| title_sort |
some equivalences between cone b-metric spaces and b-metric spaces |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2013-01-01 |
| description |
We introduce a b-metric on the cone b-metric space and then prove some equivalences between them. As applications, we show that fixed point theorems on cone b-metric spaces can be obtained from fixed point theorems on b-metric spaces. |
| url |
http://dx.doi.org/10.1155/2013/573740 |
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AT poomkumam someequivalencesbetweenconebmetricspacesandbmetricspaces AT nguyenvandung someequivalencesbetweenconebmetricspacesandbmetricspaces AT vothilehang someequivalencesbetweenconebmetricspacesandbmetricspaces |
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